Code No: RR310304 RR Set No. 2
III B.Tech I Semester Supplementary Examinations,June 2010
KINEMATICS OF MACHINES
Common to Mechanical Engineering, Mechatronics, Production
Engineering, Automobile Engineering
Time: 3 hours Max Marks: 80
Answer any FIVE Questions
All Questions carry equal marks
? ? ? ? ?
1. (a) What do you mean by conjugate gears? Explain how do the involute profile gear teeth satisfy it?
(b) A pair of gears having 40 and 20 teeth respectively, are rotating in mesh, the speed of the smaller being 2000 rpm. Determine
i. the speed of sliding between the gear teeth faces at the point of engage- ment, at the pitch point and at the point of disengagement, if the smaller wheel is the driver. Assume that the gear teeth are of the 200 involute forms that the addendum length is 5 mm and module pitch is 5 mm.
ii. Also find the angle through which pinion turns while any one pair teeth
are in contact. [8+8]
2. An epicyclic gear train, as shown in Figure 6 is composed of a fixed annular wheel A having 150 teeth. The wheel A is meshing with wheel B which drives wheel D through an idle wheel C,D being concentric with A. The wheels B and C are carried on an arm which revolves clockwise at 100 rp.m. about the axis of A and D. If the wheels B and D have 25 teeth and 40 teeth respectively, find the number of teeth on C and the speed and sense of rotation of C. [16]
Figure 6
3. A grass hopper straight line mechanisms gets its motion from a crank OA. The end A of the crank is joined to a long rod PQ such that Q A is 6cm. The end Q is further joined to along vertical link O1 Q, 24 Cm long moving with centre O1. The length of rod PQ is also 24 Cm and its end P describes an approximate vertical straight line. Determine the radius of crank OA. Find also the maximum deviation
1
Code No: RR310304 RR Set No. 2
of P from the vertical straight line in a travel of 6 Cm on each side of its mean position. [16]
4. A Hooke's joint connects a shaft running at a uniform speed of 1000 rpm to a second shaft. The angle between their axes is 15 degrees. Find the velocity and acceleration of the driven shaft at the instant when the fork of the driving shaft has turned through an angle of 100 from the plane containing the shaft axes.
At what other positions of the driving shaft during a revolution, the angular velocity of the driven shafts be the same as that arrived above? [16]
5. Discuss in detail atleast two inversions of single slider crank chain mechanisms which give quick return motion. Give examples of their applications. [16]
6. A flat ended valve tappet is operated by a symmetrical cam with circular arcs for flank and nose profiles. The total angle of action is 1500 base circle diameter 125 mm and the lift 25 mm. During the lift, the period of acceleration is half that of the retardation. Speed of cam shaft is 1250 r.p.m. The straight line path of the tappet passes through the cam axis. Find
(a) Radii of the nose and flank, and
(b) Maximum acceleration and retardation during the lift. [16]
7. In the modified crank-shaper mechanism shown in Figure 7 ω2 = 10r a d /sec (CCW) and is constant. Determine the velocity and acceleration of the slider at C. Given O2A = 4 cm, O5B= 5 cm, and BC = 24 cm. [16]
Figure 7
8. In the slider crank mechanism shown in Figure 1 block P reciprocates along the fixed line AB and the crank has a uniform speed of 230rpm. Determine for the
2
Code No: RR310304 RR Set No. 2
given configuration, the velocity and acceleration of the block P and the point D. [16]
Figure 1
? ? ? ? ?
3
Code No: RR310304 RR Set No. 4
III B.Tech I Semester Supplementary Examinations,June 2010
KINEMATICS OF MACHINES
Common to Mechanical Engineering, Mechatronics, Production
Engineering, Automobile Engineering
Time: 3 hours Max Marks: 80
Answer any FIVE Questions
All Questions carry equal marks
? ? ? ? ?
1. In the slider crank mechanism shown in Figure 1 block P reciprocates along the fixed line AB and the crank has a uniform speed of 230rpm. Determine for the given configuration, the velocity and acceleration of the block P and the point D.
[16]
Figure 1
2. A grass hopper straight line mechanisms gets its motion from a crank OA. The end A of the crank is joined to a long rod PQ such that Q A is 6cm. The end Q is further joined to along vertical link O1 Q, 24 Cm long moving with centre O1. The length of rod PQ is also 24 Cm and its end P describes an approximate vertical straight line. Determine the radius of crank OA. Find also the maximum deviation of P from the vertical straight line in a travel of 6 Cm on each side of its mean position. [16]
3. Discuss in detail atleast two inversions of single slider crank chain mechanisms which give quick return motion. Give examples of their applications. [16]
4. (a) What do you mean by conjugate gears? Explain how do the involute profile
gear teeth satisfy it?
(b) A pair of gears having 40 and 20 teeth respectively, are rotating in mesh, the
speed of the smaller being 2000 rpm. Determine
i. the speed of sliding between the gear teeth faces at the point of engage-
ment, at the pitch point and at the point of disengagement, if the smaller
4
Code No: RR310304 RR Set No. 4
wheel is the driver. Assume that the gear teeth are of the 200 involute forms that the addendum length is 5 mm and module pitch is 5 mm.
ii. Also find the angle through which pinion turns while any one pair teeth are in contact. [8+8]
5. In the modified crank-shaper mechanism shown in Figure 7 ω2 = 10rad/sec (CCW) and is constant. Determine the velocity and acceleration of the slider at C. Given O2 A = 4 cm, O5B= 5 cm, and BC = 24 cm. [16]
Figure 7
6. An epicyclic gear train, as shown in Figure 6 is composed of a fixed annular wheel A having 150 teeth. The wheel A is meshing with wheel B which drives wheel D through an idle wheel C,D being concentric with A. The wheels B and C are carried on an arm which revolves clockwise at 100 rp.m. about the axis of A and D. If the wheels B and D have 25 teeth and 40 teeth respectively, find the number of teeth on C and the speed and sense of rotation of C. [16]
5
Code No: RR310304 RR Set No. 4
Figure 6
7. A flat ended valve tappet is operated by a symmetrical cam with circular arcs for flank and nose profiles. The total angle of action is 1500 base circle diameter 125 mm and the lift 25 mm. During the lift, the period of acceleration is half that of the retardation. Speed of cam shaft is 1250 r.p.m. The straight line path of the tappet passes through the cam axis. Find
(a) Radii of the nose and flank, and
(b) Maximum acceleration and retardation during the lift. [16]
8. A Hooke's joint connects a shaft running at a uniform speed of 1000 rpm to a second shaft. The angle between their axes is 15 degrees. Find the velocity and acceleration of the driven shaft at the instant when the fork of the driving shaft has turned through an angle of 100 from the plane containing the shaft axes.
At what other positions of the driving shaft during a revolution, the angular velocity of the driven shafts be the same as that arrived above? [16]
? ? ? ? ?
6
Code No: RR310304 RR Set No. 1
III B.Tech I Semester Supplementary Examinations,June 2010
KINEMATICS OF MACHINES
Common to Mechanical Engineering, Mechatronics, Production
Engineering, Automobile Engineering
Time: 3 hours Max Marks: 80
Answer any FIVE Questions
All Questions carry equal marks
? ? ? ? ?
1. An epicyclic gear train, as shown in Figure 6 is composed of a fixed annular wheel A having 150 teeth. The wheel A is meshing with wheel B which drives wheel D through an idle wheel C,D being concentric with A. The wheels B and C are carried on an arm which revolves clockwise at 100 rp.m. about the axis of A and D. If the wheels B and D have 25 teeth and 40 teeth respectively, find the number of teeth on C and the speed and sense of rotation of C. [16]
Figure 6
2. A grass hopper straight line mechanisms gets its motion from a crank OA. The end A of the crank is joined to a long rod PQ such that Q A is 6cm. The end Q is further joined to along vertical link O1 Q, 24 Cm long moving with centre O1. The length of rod PQ is also 24 Cm and its end P describes an approximate vertical straight line. Determine the radius of crank OA. Find also the maximum deviation of P from the vertical straight line in a travel of 6 Cm on each side of its mean position. [16]
3. (a) What do you mean by conjugate gears? Explain how do the involute profile gear teeth satisfy it?
(b) A pair of gears having 40 and 20 teeth respectively, are rotating in mesh, the speed of the smaller being 2000 rpm. Determine
i. the speed of sliding between the gear teeth faces at the point of engage- ment, at the pitch point and at the point of disengagement, if the smaller wheel is the driver. Assume that the gear teeth are of the 200 involute forms that the addendum length is 5 mm and module pitch is 5 mm.
7
Code No: RR310304 RR Set No. 1
ii. Also find the angle through which pinion turns while any one pair teeth are in contact. [8+8]
4. In the slider crank mechanism shown in Figure 1 block P reciprocates along the fixed line AB and the crank has a uniform speed of 230rpm. Determine for the given configuration, the velocity and acceleration of the block P and the point D.
[16]
Figure 1
5. In the modified crank-shaper mechanism shown in Figure 7 ω2 = 10 rad/sec (CCW) and is constant. Determine the velocity and acceleration of the slider at C. Given O2A = 4 cm, O5B= 5 cm, and BC = 24 cm. [16]
Figure 7
8
Code No: RR310304 RR Set No. 1
6 A Hooke's joint connects a shaft running at a uniform speed of 1000 rpm to a second shaft. The angle between their axes is 15 degrees. Find the velocity and acceleration of the driven shaft at the instant when the fork of the driving shaft has turned through an angle of 100 from the plane containing the shaft axes.
At what other positions of the driving shaft during a revolution, the angular velocity of the driven shafts be the same as that arrived above? [16]
7. Discuss in detail atleast two inversions of single slider crank chain mechanisms which give quick return motion. Give examples of their applications. [16]
8. A flat ended valve tappet is operated by a symmetrical cam with circular arcs for flank and nose profiles. The total angle of action is 1500 base circle diameter 125 mm and the lift 25 mm. During the lift, the period of acceleration is half that of the retardation. Speed of cam shaft is 1250 r.p.m. The straight line path of the tappet passes through the cam axis. Find
(a) Radii of the nose and flank, and
(b) Maximum acceleration and retardation during the lift. [16]
? ? ? ? ?
9
Code No: RR310304 RR Set No. 3
III B.Tech I Semester Supplementary Examinations,June 2010
KINEMATICS OF MACHINES
Common to Mechanical Engineering, Mechatronics, Production
Engineering, Automobile Engineering
Time: 3 hours Max Marks: 80
Answer any FIVE Questions
All Questions carry equal marks
? ? ? ? ?
1. In the slider crank mechanism shown in Figure 1 block P reciprocates along the fixed line AB and the crank has a uniform speed of 230rpm. Determine for the given configuration, the velocity and acceleration of the block P and the point D.
[16]
Figure 1
2. A Hooke's joint connects a shaft running at a uniform speed of 1000 rpm to a second shaft. The angle between their axes is 15 degrees. Find the velocity and acceleration of the driven shaft at the instant when the fork of the driving shaft has turned through an angle of 100 from the plane containing the shaft axes.
At what other positions of the driving shaft during a revolution, the angular velocity of the driven shafts be the same as that arrived above? [16]
3. A grass hopper straight line mechanisms gets its motion from a crank OA. The end A of the crank is joined to a long rod PQ such that Q A is 6cm. The end Q is further joined to along vertical link O1 Q, 24 Cm long moving with centre O1. The length of rod PQ is also 24 Cm and its end P describes an approximate vertical straight line. Determine the radius of crank OA. Find also the maximum deviation of P from the vertical straight line in a travel of 6 Cm on each side of its mean position. [16]
4. Discuss in detail atleast two inversions of single slider crank chain mechanisms which give quick return motion. Give examples of their applications. [16]
10
Code No: RR310304 RR Set No. 3
5. A flat ended valve tappet is operated by a symmetrical cam with circular arcs for flank and nose profiles. The total angle of action is 1500 base circle diameter 125 mm and the lift 25 mm. During the lift, the period of acceleration is half that of the retardation. Speed of cam shaft is 1250 r.p.m. The straight line path of the tappet passes through the cam axis. Find
(a) Radii of the nose and flank, and
(b) Maximum acceleration and retardation during the lift. [16]
6. An epicyclic gear train, as shown in Figure 6 is composed of a fixed annular wheel A having 150 teeth. The wheel A is meshing with wheel B which drives wheel D through an idle wheel C,D being concentric with A. The wheels B and C are carried on an arm which revolves clockwise at 100 rp.m. about the axis of A and D. If the wheels B and D have 25 teeth and 40 teeth respectively, find the number of teeth on C and the speed and sense of rotation of C. [16]
Figure 6
7. In the modified crank-shaper mechanism shown in Figure 7 ω2 = 10 rad/sec (CCW) and is constant. Determine the velocity and acceleration of the slider at C. Given O2A = 4 cm, O5B= 5 cm, and BC = 24 cm. [16]
11
Code No: RR310304 RR Set No. 3
Figure 7
8. (a) What do you mean by conjugate gears? Explain how do the involute profile gear teeth satisfy it?
(b) A pair of gears having 40 and 20 teeth respectively, are rotating in mesh, the speed of the smaller being 2000 rpm. Determine
i. the speed of sliding between the gear teeth faces at the point of engage- ment, at the pitch point and at the point of disengagement, if the smaller wheel is the driver. Assume that the gear teeth are of the 200 involute forms that the addendum length is 5 mm and module pitch is 5 mm.
ii. Also find the angle through which pinion turns while any one pair teeth are in contact. [8+8]
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